MiS Preprint Repository
We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
Multiplicity results for the two-vortex Chern-Simons Higgs model on the two-sphere
Weiyue Ding, Jürgen Jost, Jiayu Li and Guofang WangAbstract
We consider a Ginzburg-Landau type functional on S2 with a 6th order potential and the corresponding selfduality equations. We study the limiting behavior in the two vortex case when a coupling parameter tends to zero. This two vortex case is a limiting case for the Moser inequality, and we correspondingly detect a rich and varied asymptotic behavior depending on the position of the vortices. We exploit analogies with the Nirenberg problem for the prescribed Gauss curvature equation on S2.
- Received:
- 03.07.98
- Published:
- 03.07.98
- Keywords:
- ginzburg-landau functional, moser-trudinger inequality, nirenberg problem, phase transition, chern-simons higgs theory